文章基本信息

标题：Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions
本地全文：下载
作者：Jessada Tariboon ; Sotiris K Ntouyas ; Weerawat Sudsutad 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：28
DOI：10.1186/1687-1847-2014-28
语种：English
出版社：Hindawi Publishing Corporation
摘要：We are concerned with the existence of at least one, two or three positive solutions for the boundary value problem with three-point multi-term fractional integral boundary conditions: { D q u ( t ) + f ( t , u ( t ) ) = 0 , 1 < q ≤ 2 , 0 < t < 1 , u ( 0 ) = 0 , u ( 1 ) = ∑ i = 1 m α i ( I p i u ) ( η ) , 0 < η < 1 , where D q is the standard Riemann-Liouville fractional derivative. Our analysis relies on the Krasnoselskii fixed point theorem and the Leggett-Williams fixed point theorem. Some examples are also given to illustrate the main results. MSC:26A33, 34A08, 34B18.
关键词：fractional differential equations ; nonlocal boundary conditions ; positive solutions ; fixed point theorem